On the Explanatory Role of Mathematics in Empirical Science
Datos Bibliográficos
| ID | 8396237 |
|---|---|
| Autores | Robert W Batterman (0000-0002-7239-3128, Western University, autor de correspondencia) |
| Año | 2010 |
| Volumen | 61 |
| Número | 1 |
| Páginas | 1-25 |
| Fecha de publicación | 2010-03-01 |
| Peer Reviewed | Sí |
| Open Access | No |
| Tipo | ARTICLE |
| Revista | The British Journal for the Philosophy of Science (JOURNAL) |
| Identificadores de la revista | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Editorial | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/axp018 |
| OpenAlex | W2121813690 |
| Idioma | EN |
| Citas recibidas | 75 |
| Referencias citadas | 18 |
This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed. 1. Introduction 2. Mathematical Explanations I: Entities 3. Mathematical Explanations II: Operations 4. Mapping Accounts: Strengths 5. Mapping Accounts: Idealizations 5.1. Pincock and matching models 5.2. Bueno, Colyvan, and the inferential conception 6. Mapping Accounts: Limitations 7. Suggestions for a New Approach 8. Conclusion
Epistemology · Matching (statistics) · Mathematics education · Physical science · Sociology · Statistics · Computer Science · Mathematics · Philosophy · Philosophy and History of Science · Science and Climate Studies
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Mark Colyvan, An Introduction to the Philosophy of Mathematics
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The structure of asymptotic idealization
Idealized models, holistic distortions, and universality
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Should scientific realists be platonists
The explanatory dispensability of idealizations
Predictive success, partial truth and Duhemian realism
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Haptic realism for neuroscience
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Explanation in Computational Neuroscience
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On Batterman's ‘On the Explanatory Role of Mathematics in Empirical Science’
Intertheoretical relationships based on three-model framework
The Indispensability of Mathematics
Wandering Significance
Weaseling away the indispensability argument
Are there Genuine Mathematical Explanations of Physical Phenomena
Taking Thermodynamics Too Seriously
Critical phenomena and breaking drops
Galilean idealization
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Mathematical Idealization
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| Obras citantes distintas | 75 |
|---|---|
| Citas por año | 4,41 |
| Intervalo de citas | 2009 - 2026 (18) |
| Velocidad de citación | current |
| Altamente citado | No |
| Tipos de cita | Neutras: 70 |